FIELD OF THE DISCLOSURE
[0001] Examples of the present disclosure generally relate to systems and methods for compensating
for spring back of structures formed through incremental sheet forming.
BACKGROUND OF THE DISCLOSURE
[0002] Certain structures are formed through incremental sheet forming. In particular, incremental
sheet forming provides a method of forming thin structures from metal. A forming tool
typically includes a round, blunt operative head that is pushed or otherwise urged
against a surface of sheet metal that is suspended in a clamp, jig, or the like to
provide a modified three-dimensional shape.
[0003] When a piece of sheet metal is formed, an amount of strain in the sheet metal is
elastically recovered, which is known as spring back. A known method for compensating
for spring back with respect to forming processes over a die is to modify a shape
of the tooling in an iterative way until a part of sufficient geometric accuracy is
produced. Such process can be performed virtually by first simulating the process,
then by comparing the simulated result with the expected result. The die can then
be modified to invert the offset.
[0004] However, spring forward compensation (that is, compensating for spring back) typically
cannot be applied to incremental sheet forming because a small change in geometry
can lead to a large change in a topology of the toolpath, which can have unexpected
effects on the resulting geometry of the formed part. For example, in incremental
sheet forming, a small bump can completely change the topology of a toolpath, and
a separate island of material may be formed in the resulting part, which has numerous
drawbacks. First, tool engagement and retraction may leave a mark on the part. Second,
the formation of the island of material can leave a bump in the sheet of material,
which may render it unusable or otherwise unacceptable. Third, the bump can re-order
which parts of the sheet are formed, which can affect workflow, such as by changing
how the sheet behaves during the forming process. Such changes can ultimately invalidate
any corrective steps.
SUMMARY OF THE DISCLOSURE
[0005] A need exists for a system and method for compensating for spring back in an incremental
sheet forming process of forming a structure. That is, a need exists for a system
and method of spring forward compensation during incremental sheet forming of a structure.
Further, a need exists for a system and method of maintaining a toolpath during an
incremental sheet forming process while also compensating for spring back to form
a desired structural shape.
[0006] With those needs in mind, certain examples of the present disclosure provide an incremental
sheet forming system that is configured to form a structure through an incremental
sheet forming process. The incremental sheet forming system includes a forming control
unit that compensates for spring back of a structure to be formed through the incremental
sheet forming process. For example, the forming control unit compensates for the spring
back by modifying at least a portion of a toolpath of a forming tool that is used
to form the structure based on the spring back.
[0007] In at least one example, the forming control unit determines a target shape for the
structure to be formed, and simulates an incremental sheet forming operation in relation
to the target shape. For example, the forming control unit compares differences between
the target shape and a resulting structure from the incremental sheet forming operation
to determine one or more offsets that compensate for the spring back. The one or more
offsets relate to force vectors (that is, magnitudes and directions of forces) that
oppose the spring back. The forming control unit may virtually simulate the incremental
sheet forming operation without a forming tool physically operating on the structure.
[0008] In at least one example, the forming control unit determines a geometric error over
an entirety of a simulated structure. The forming control unit offsets points on contours
normal to a target geometry in response to the geometric error being greater than
a predetermined threshold. The forming control unit determines if any set of consecutive
contours has a maximum vertical deviation greater than a maximum step-down after the
forming control unit offsets the points. In response to there being at least one set
of consecutive contours that has a maximum vertical deviation that exceeds the maximum
step-down, the forming control unit inserts at least one compensating contour between
a target contour and at least one contour that has a maximum vertical deviation that
exceeds the maximum step-down. The forming control unit further maps the compensating
contour onto the structure to form a compensated geometry.
[0009] In at least one example, the forming control unit maps contours, with at least one
surface of the structure.
[0010] In at least one example, the incremental sheet forming also includes the forming
tool. The forming tool is configured to follow the toolpath, as modified, to form
the structure.
[0011] Certain examples of the present disclosure provide an incremental sheet forming method
that is configured to form a structure through an incremental sheet forming process.
The incremental sheet forming method includes compensating, by a forming control unit,
for spring back of a structure to be formed through the incremental sheet forming
process.
[0012] In at least one example, said compensating includes determining a target shape for
the structure to be formed, and simulating an incremental sheet forming operation
in relation to the target shape. Said compensating further includes comparing differences
between the target shape and a resulting structure from the incremental sheet forming
operation to determine one or more offsets that compensate for the spring back. Said
simulating may include virtually simulating the incremental sheet forming operation
without a forming tool physically operating on the structure.
[0013] In at least one example, said compensating includes determining a geometric error
over an entirety of a simulated structure. Said compensating further includes offsetting
points on contours normal to a target geometry in response to the geometric error
being greater than a predetermined threshold. Said compensating further includes determining
if any set of consecutive contours has a maximum vertical deviation greater than a
maximum step-down after said offsetting. Said compensating further includes, in response
to there being at least one set of consecutive contours that has a maximum vertical
deviation that exceeds the maximum step-down, inserting at least one compensating
contour between a target contour and at least one contour that has a maximum vertical
deviation that exceeds the maximum step-down. Said compensating further includes mapping
the compensating contour onto the structure to form a compensated geometry.
[0014] In at least one example, said compensating includes mapping contours with at least
one surface of the structure.
[0015] In at least one example, said compensating includes modifying at least a portion
of a toolpath of a forming tool that is used to form the structure based on the spring
back.
BRIEF DESCRIPTION OF THE DRAWINGS
[0016]
Figure 1 illustrates a schematic block diagram of an incremental sheet forming system.
Figure 2 illustrates a flow chart of a spring back compensation algorithm for incremental
sheet forming.
Figure 3 illustrates a top view of a structure.
Figure 4 illustrates a perspective lateral view of the structure of Figure 3.
Figure 5 illustrates a perspective lateral view of a target surface.
Figure 6 illustrates a perspective lateral view of a sheet offset surface over the
target surface of Figure 5.
Figure 7 illustrates a perspective lateral view of a tool-offset surface over the
sheet offset surface of Figure 6, which is over the target surface of Figure 5.
Figure 8 illustrates a perspective internal view of the tool-offset surface over the
sheet offset surface, which is over the target surface.
Figure 9 illustrates a perspective view of the tool-offset surface having a toolpath.
Figure 10 illustrates a perspective view of a set of consecutive contours having a
maximum vertical deviation greater than a maximum step-down.
Figure 11 illustrates a simplified diagram of a structure having an original toolpath
and a modified toolpath.
DETAILED DESCRIPTION OF THE DISCLOSURE
[0017] The foregoing summary, as well as the following detailed description of certain examples
will be better understood when read in conjunction with the appended drawings. As
used herein, an element or step recited in the singular and preceded by the word "a"
or "an" should be understood as not necessarily excluding the plural of the elements
or steps. Further, references to "one example" are not intended to be interpreted
as excluding the existence of additional examples that also incorporate the recited
features. Moreover, unless explicitly stated to the contrary, examples "comprising"
or "having" an element or a plurality of elements having a particular condition can
include additional elements not having that condition.
[0018] Certain examples of the present disclosure provide an incremental sheet forming system
and method that includes a forming control unit that is configured to compensate for
spring back of a structure to be formed. In at least one example, the forming control
unit maps contours of the structure, instead of just mapping the surface and re-cutting
contours, thereby leading to non-z-level paths. In at least one example, the forming
control unit continually inserts paths between pairs of undesired toolpaths, such
as by referencing a library of contours with respect to a target (desired) shape,
and mapping all of them at every step, or by carrying around the original z-level
of each path, and generating new paths between undesired pairs of contours on the
target shape.
[0019] Certain examples of the present disclosure provide a system and a method for correction
for spring back during incremental sheet forming of a structure. The system and method
include calculating a geometric error over the entire part, modifying the geometry
based on the error, mapping the original toolpath onto the new geometry and, finally,
inserting additional toolpath contours if appropriate. In at least one example, the
toolpath may be modified instead of regenerating the toolpath at each repetition of
the compensation.
[0020] Certain examples of the present disclosure provide a system and a method that corrects
the error associated between a fabricated part shape and a designed target shape due
to spring back of the part in incremental sheet forming. To reduce the error, a forming
control unit runs a simulation (or an actual physical forming pass) to determine how
an end product will look and determines geometric error. If the error is unacceptable,
the forming control unit modifies the target geometry by pushing the target geometry
in the opposite direction of the error, such that the forming tool (such as a forming
stylus) pushes the target geometry in the opposite direction of the error. The original
toolpath is then mapped onto this new geometry. In at least one example, if after
modification of a current set of contours a distance (such as a height) is too large
between the contours, additional contours may be inserted.
[0021] In incremental sheet forming, the toolpath is given as a discrete set or points which
may be connected by straight lines. These points lie on a surface, called the tool
offset surface. Corresponding to these toolpath points are contact points, which are
where the forming tool touches the part geometry for a given contact point. These
points also lie on a surface, called the sheet offset surface, for which there is
a 1:1 correspondence with the tool offset surface. To map the toolpath, the same transformation
is applied to the contact points as to the target geometry, or vice versa. The compensation
algorithm modifies the target geometry by offsetting, for example normally. Because
the sheet offset surface is defined by offsetting the target geometry, the sheet offset
can be offset directly. Once this occurs, the forming control unit can recompute the
points on the tool offset surface that correspond to the contact points, and connects
those by straight line segments to generate the full toolpath.
[0022] Figure 1 illustrates a schematic block diagram of an incremental sheet forming system
100, according to an example of the present disclosure. The incremental sheet forming
system 100 includes a forming control unit 102 in communication with a structure database
104, such as through one or more wired or wireless connections, and a user interface
106, such as through one or more wired or wireless connections. The forming control
unit 102 may be co-located with one or both of the structure database 104 and/or the
user interface 106. Optionally, the forming control unit 102 may be remotely located
from one or both of the structure database 104 and/or the user interface 106. In at
least one example, a forming tool 108 includes operative components, such as motors,
that are controlled by a controller or control unit, which may be separate and distinct
from the forming control unit 102.
[0023] The incremental sheet forming system 100 also includes the forming tool 108 that
is configured to operate to form a structure 110. In at least one example, the forming
tool 108 is a forming stylus having a rounded, blunted operative end 112 that is configured
to exert force into the structure 110 to form various features therein and/or thereon
(such as curves, bends, indentations, and/or the like). The forming tool 108 operates
on the structure 110 over a toolpath 114 to form a desired shape of the structure
110.
[0024] In at least one example, the forming control unit 102 is in communication with the
forming tool 108, such as through one or more wired or wireless connections. The forming
control unit 102 is configured to operate the forming tool 108 to form the desired
shape of the structure 110, which is formed of sheet metal, for example. Alternatively,
the forming control unit 102 may not be in communication with the forming tool 108
or configured to operate the forming tool 108.
[0025] The structure database 104 stores various data. For example, the structure database
104 stores target data 116, spring back data 118, and toolpath data 120. The target
data 116 includes information regarding a target or desired structure to be formed.
For example, the target data 116 includes information regarding the size and shape
of the structure 110 as desired to be formed.
[0026] The spring back data 118 includes information regarding spring back effects when
force is exerted into the structure 110. For example, as a force is exerted into a
portion of the structure 110, the elasticity of the structure 110 causes a responsive
spring back.
[0027] The toolpath data 120 includes information regarding a path for the forming tool
108 to follow to form the structure 110. The toolpath data 120 may include information
regarding a target or desired toolpath and a compensated toolpath, which includes
modifications to offset spring back of the structure 110. For example, the offsets
relate to force vectors (magnitudes and directions) that oppose the spring back (for
example, the force vectors are opposite (at least partially in magnitude and direction)
from the force vectors of the spring back force).
[0028] The user interface 106 includes a display 122, such as a monitor, television, touchscreen,
and/or the like. The user interface 106 and the forming control unit 102 may be part
of a computer workstation, for example. In at least one other example, the forming
control unit 102 and the user interface 106 may be part of a handheld device, such
as a smart tablet, smart phone, laptop computer, or the like.
[0029] In operation, the forming control unit 102 determines a target or desired shape for
the structure 110. For example, the forming control unit 102 can retrieve target shape
data from the target data 116. The forming control unit 102 then simulates an incremental
sheet forming operation on a virtual representation of an initial structure, such
as a piece of sheet metal. For example, the forming control unit 102 may perform a
virtual incremental sheet forming operation on the initial structure without the forming
tool 108 physically operating on the structure 110. In general, the forming control
unit 102 determines a target shape for the structure to be formed, and simulates an
incremental sheet forming operation in relation to the target shape.
[0030] During the initial simulated forming operation, the forming control unit 102 operates
on the initial structure over a toolpath to form a resulting structure. Spring back
data 118 regarding the structure allows the forming control unit 102 to determine
spring back effects during the forming process. The forming control unit 102 compares
the resulting structure after spring back with the target structure. The forming control
unit 102 determines the differences between the target structure and the resulting
structure. The forming control unit 102 then offsets the differences between the target
structure and the resulting structure to compensate for the spring back. The forming
control unit 102 compares differences between the target shape and a resulting structure
from the incremental sheet forming operation to determine one or more offsets that
compensate for the spring back. In this manner, the forming control unit 102 compensates
for differences that occur due to spring back to modify forming parameters (such as
exerted force into the structure). As such, the forming control unit 102 determines
a spring back compensated forming plan, which includes a toolpath and exerted forces
over the toolpath, that is to be used by the forming tool 108 to form the structure
110 having a desired shape. The spring back compensated forming plan offsets spring
back so that the structure 110 is formed having the desired shape, instead of an undesirable
shape due to spring back effects.
[0031] In at least one example, during an initial setup, the forming control unit 102 communicates
with the structure database 104 to determine various features of the structure 110.
For example, the target data 116 includes a desired part geometry (that is, desired
size and shape), as well as the geometry of the forming tool 108.
[0032] The forming control unit 102 also determines a maximum step-down, which is a predetermined
maximum distance between toolpath segments in a Z direction. The maximum step-down
may be stored in the structure database 104, and/or a memory of or coupled to the
forming control unit 102. For example, the maximum step-down may be 10 millimeters
or less. In some examples, the maximum step-down is between 5 millimeters and 10 millimeters.
Optionally, the maximum step-down may be greater than 10 millimeters.
[0033] The forming control unit 102 also determines a target geometric tolerance, which
is a predetermined tolerance in relation to spring back of the structure 110. The
target geometric tolerance may be stored in the structure database 104, and/or a memory
of or coupled to the forming control unit 102. For example, the target geometric tolerance
is a predetermined tolerance below which there is no need for a spring back compensation
offset. For example, the predetermined tolerance may be 0.05 millimeters or less.
In such examples, if a resulting spring back is less than 0.05 millimeters, the forming
control unit 102 does not compensate for the spring back. If, however, the resulting
spring back exceeds the target geometric tolerance, the forming control unit 102 compensates
for the spring back.
[0034] In at least one example, a method of compensating for spring back of a structure
formed by incremental sheet forming begins by the forming control unit 102 simulating
an incremental sheet forming process on the structure. For example, the forming control
unit 102 performs the simulated incremental sheet forming process virtually, without
the forming tool 108 physically operating on the structure 110. During the simulated
incremental sheet forming process, the forming control unit 102 operates a virtual
forming tool on a simulated structure using a standard toolpath, such as may be stored
in the structure database 104. During such operation, the forming control unit 102
determines spring back effects with respect to the simulated structure. In at least
one example, instead of virtual simulation, the forming control unit 102 may operate
the forming control unit 102 on a test structure. As such, the simulated incremental
sheet forming may be with respect to a virtual forming tool and simulated structure,
and/or with respect to the forming tool 108 and a test structure, such as a test version
of the structure 110.
[0035] The forming control unit 102 then determines the geometric error over an entirety
of the simulated structure. The geometric error is the difference between the structure
as desired to be formed, and the resulting structure caused by spring back as operated
on during the simulation. For example, the geometric error relates to differences
(such as in terms of sizes, heights, and the like) in corresponding contours between
the structure as desired to be formed and the structure exhibiting spring back. If
the resulting geometric error is acceptable (such as within the target geometric tolerance),
the forming control unit accepts the results, and the forming tool 108 may then operate
on the structure 110 in accordance with the simulated incremental sheet forming process.
[0036] If, however, the geometric error is not acceptable (such as exceeding the target
geometric tolerance), the forming control unit 102 offsets points on contours (for
example, all contours) normal to a target geometry as a fraction of local geometric
error. Then, for the current contour set (that is, that of the resulting structure),
the forming control unit 102 determines if any set of consecutive contours 115 has
a maximum vertical deviation 117 greater than the maximum step-down 119 (as shown
in Figure 10). If there are no sets of consecutive contours that has a maximum vertical
deviation greater than the maximum step-down, the forming control unit 102 returns
to simulating the incremental sheet forming process.
[0037] If, however, there is at least one set of consecutive contours that has a maximum
vertical deviation that exceeds the maximum step-down, the forming control unit 102
may then insert a compensating contour 121 between the target contour (that is, the
contour as desired) and the contour 115 that has a maximum vertical deviation 117
that exceeds the maximum step-down 119 (as shown in Figure 10). The forming control
unit 102 then maps the compensating contour onto the structure to form a new, compensated
geometry. The forming control unit 102 then continues to iteratively perform such
operations until all surfaces have been analyzed.
[0038] In at least one example, a surface is first modified, and contact points are carried
around with the modification. From modified contact points, tool offset points can
be recomputed. In this way, the toolpath may be mapped onto a new geometry.
[0039] As shown in the simplified example of Figure 10, one or more offsets 123 compensate
for spring back effects. A geometric error 127 in a simulated structure may be caused
by spring back.
[0040] As described herein, examples of the present disclosure provide the forming control
unit 102, which is configured to compensate for spring back in relation to incremental
sheet forming processes of forming structures. The forming control unit 102 does not
merely map the surface and re-cut contours. In at least one example, the forming control
unit 102 maps contours with the surface of the structure 110, thereby leading to non-z-level
paths. In at least one example, the forming control unit 102 inserts paths (such as
iteratively and/or cumulatively) between pairs of undesirable toolpaths.
[0041] In at least one example, the forming control unit 102 modifies the toolpath 114 in
order to compensate for spring back, instead of regenerating, at each iteration of
the compensation. For example, the forming control unit 102 modifies at least a portion
of the toolpath 114 of the forming tool 108 that is used to form the structure 110
based on the spring back. In at least one example, when geometric errors are not large,
the forming control unit 102 can retain small perturbations in the toolpath, instead
of generating new topologies in the toolpath. As an example, Figure 11 illustrates
a simplified diagram of a structure 110 having an original toolpath 114a and a modified
toolpath 114b.
[0042] Figure 2 illustrates flow chart of a spring back compensation algorithm for incremental
sheet forming, according to an example of the present disclosure. Figure 2 illustrates
an incremental sheet forming method. In at least one example, the forming control
unit 102 shown in Figure 1 operates based on the flow chart shown and described with
respect to Figure 2.
[0043] At 200, the method begins by simulating an incremental sheet forming process on the
structure. The simulation may be virtual or on a test structure. At 202, the geometric
error over an entirety of the simulated structure is determined.
[0044] If, at 204, the resulting geometric error is acceptable, such as less than predetermined
threshold (such as within the target geometric tolerance), results are accepted at
205 (and the process ends at 218), and the forming tool 108 may then operate on the
structure 110 in accordance with the simulated incremental sheet forming process.
[0045] If, however, the geometric error is not acceptable, such as greater than the predetermined
threshold, at 204, tool contact points (for example, contours) that are normal (for
example, to current geometry or to original geometry) are offset in a direction opposite
to the geometric error at 206. Then, at 208, a maximum distance is calculated between
every pair of consecutive contours (for example, z-deviation) in relation to the maximum
step down. At 210, it is determined if any pair has a deviation that exceeds the threshold
value (that is the maximum step down). If there are no sets of consecutive contours
that has a maximum vertical deviation greater than the maximum step-down at 210, the
method proceeds from 210 to 211, at which the tool position is recalculated for each
contact point while retaining order and orientation. The method then returns to 200.
Optionally, instead of a maximum step down, examples of the present disclosure may
utilize a maximum step over for toolpaths.
[0046] If, however, there is at least one set of consecutive contours that has a maximum
vertical deviation that exceeds the maximum step-down at 210, another contour is inserted
at 212 between the target contour (that is, the contour as desired) and the contour
that has a maximum vertical deviation that exceeds the maximum step-down. At 214,
the compensating contour is then mapped onto the structure to form a new, compensated
geometry, and the method returns to 208. The process continues until all surfaces
of the structure have been analyzed.
[0047] Optionally, in at least one example, the process may occur in relation to a die.
As such, the die may also be modified to account for the changing shape of the geometry
of the structure being formed.
[0048] As used herein, the term "control unit," "central processing unit," "unit," "CPU,"
"computer," or the like can include any processor-based or microprocessor-based system
including systems using microcontrollers, reduced instruction set computers (RISC),
application specific integrated circuits (ASICs), logic circuits, and any other circuit
or processor including hardware, software, or a combination thereof capable of executing
the functions described herein. Such are exemplary only, and are thus not intended
to limit in any way the definition and/or meaning of such terms. For example, the
forming control unit 102 can be or include one or more processors that are configured
to control operation thereof, as described herein.
[0049] The forming control unit 102 is configured to execute a set of instructions that
are stored in one or more data storage units or elements (such as one or more memories),
in order to process data. For example, the control unit 102 can include or be coupled
to one or more memories. The data storage units can also store data or other information
as desired or needed. The data storage units can be in the form of an information
source or a physical memory element within a processing machine. The one or more data
storage units or elements can comprise volatile memory or nonvolatile memory, or can
include both volatile and nonvolatile memory. As an example, the nonvolatile memory
can comprise read only memory (ROM), programmable ROM (PROM), electrically programmable
ROM (EPROM), electrically erasable PROM (EEPROM), and/or flash memory and volatile
memory can include random access memory (RAM), which can act as external cache memory.
The data stores of the disclosed systems and methods is intended to comprise, without
being limited to, these and any other suitable types of memory.
[0050] The set of instructions can include various commands that instruct the forming control
unit 102 as a processing machine to perform specific operations such as the methods
and processes of the various examples of the subject matter described herein. The
set of instructions can be in the form of a software program. The software can be
in various forms such as system software or application software. Further, the software
can be in the form of a collection of separate programs, a program subset within a
larger program or a portion of a program. The software can also include modular programming
in the form of object-oriented programming. The processing of input data by the processing
machine can be in response to user commands, or in response to results of previous
processing, or in response to a request made by another processing machine.
[0051] The diagrams of examples herein can illustrate one or more control or processing
units, such as the forming control unit 102. It is to be understood that the processing
or control units can represent circuits, circuitry, or portions thereof that can be
implemented as hardware with associated instructions (e.g., software stored on a tangible
and non-transitory computer readable storage medium, such as a computer hard drive,
ROM, RAM, or the like) that perform the operations described herein. The hardware
can include state machine circuitry hardwired to perform the functions described herein.
Optionally, the hardware can include electronic circuits that include and/or are connected
to one or more logic-based devices, such as microprocessors, processors, controllers,
or the like. Optionally, the forming control unit 102 can represent processing circuitry
such as one or more of a field programmable gate array (FPGA), application specific
integrated circuit (ASIC), microprocessor(s), and/or the like. The circuits in various
examples can be configured to execute one or more algorithms to perform functions
described herein. The one or more algorithms can include features of examples disclosed
herein, whether or not expressly identified in a flowchart or a method.
[0052] As used herein, the terms "software" and "firmware" are interchangeable, and include
any computer program stored in a data storage unit (for example, one or more memories)
for execution by a computer, including RAM memory, ROM memory, EPROM memory, EEPROM
memory, and non-volatile RAM (NVRAM) memory. The above data storage unit types are
exemplary only, and are thus not limiting as to the types of memory usable for storage
of a computer program.
[0053] Figure 3 illustrates a top view of the structure 110, according to an example of
the present disclosure. Figure 4 illustrates a perspective lateral view of the structure
110. Referring to Figures 3 and 4, the toolpath 114 is superimposed onto the structure
110. The toolpath 114 is the path the forming tool 108 follows as it forms the structure
110.
[0054] Referring to Figures 1, 3, and 4, the forming control unit 102 determines the toolpath
114 for the structure 110, as desired (that is, as shaped as desired). In at least
one example, the forming control unit 102 modifies the toolpath 114 based on determined
spring back, as determined during the simulated incremental sheet forming process.
Figure 11 illustrates a simplified example of an original toolpath 114a and a modified
toolpath 114b. In at least one example, the toolpath 114 that is used to compensate
for spring back is the same or substantially the same as the toolpath before the simulated
incremental sheet forming process. In this manner, the forming control unit 102 does
not alter or substantially alter the toolpath 114, which may otherwise lead to undesirable
islands on the structure 110.
[0055] In at least one example, the forming control unit 102 may first map the toolpath
onto a modified or target shape 110' (that is, a shape modified so as to offset the
effects of spring back). Typically, in incremental sheet forming, a toolpath is determined
by generating a surface by offsetting a target geometry by an amount dictated by sheet
thickness, the tool shape, the tool size, and the like.
[0056] Figure 5 illustrates a perspective lateral view of a target surface 300, according
to an example of the present disclosure. The target surface 300 is a surface corresponding
to a desired size and shape of a target structure (that is, the structure that is
to be formed, as desired). The forming control unit 102 (shown in Figure 1) determines
the target surface 300, such as stored in the structure database 104.
[0057] Figure 6 illustrates a perspective lateral view of a sheet offset surface 302 over
the target surface 300, according to an example of the present disclosure. The sheet
offset surface 302 is separate and distinct from the target surface 300, and is offset
normally from the target surface 300 by a predetermined spacing 304, such as a thickness
of the structure 110 (shown in Figures 3 and 4). For example, the spacing 304 between
the target surface 300 and the sheet offset surface 302 between corresponding normal
points (for example, corresponding normal points 301 and normal points 303) is the
thickness of the structure 110. The forming control unit 102 (shown in Figure 1) determines
the sheet offset surface 302, such as by constructing a surface normal from the target
surface 300 at the spacing 304.
[0058] Figure 7 illustrates a perspective lateral view of a tool-offset surface 306 over
the sheet offset surface 302, which is over the target surface 300, according to an
example of the present disclosure. Figure 8 illustrates a perspective internal view
of the tool-offset surface 306 over the sheet offset surface 302, which is over the
target surface 300. Referring to Figures 1, 7, and 8, the forming control unit 102
determines the tool-offset surface 306. The tool-offset surface 306 is a surface such
that whenever a representation of the forming tool 108 (for example, a computer-generated
virtual forming tool 108) is on such tool-offset surface 306, the operative end 112
of the forming tool 108 touches the sheet offset surface 302, but does not extend
below the sheet offset surface 302. For example, when a predetermined point of the
representation of the forming tool 108 (such as a midpoint) is on the tool-offset
surface 306, the operative end 112 (for example, a distal tip or point) of the forming
tool 108 touches the sheet offset surface 302 without extending below the sheet offset
surface 302.
[0059] The tool-offset surface 306 may be spaced apart from the sheet offset surface 302
a predetermined distance in relation to the forming tool 108. For example, the spacing
308 between the tool-offset surface 306 and the sheet offset surface 302 may be a
length of the operative end 112, a distance to a center of the forming tool 108, an
entire length of the forming tool 108, or the like.
[0060] Figure 9 illustrates a perspective view of the tool-offset surface 306 having the
toolpath 114, according to an example of the present disclosure. Referring to Figures
1 and 9, in order to determine the toolpath 114, the forming control unit 102 (for
example) inserts a horizontal plane 314 along the Z axis 315. The intersection of
the horizontal plane 314 at each level defines a portion of the toolpath 114. The
forming control unit 102 may determine the various levels of the toolpath 114 through
the maximum step-down. That is, the distance between each insertion of the horizontal
plane 314 along the Z axis may be the maximum step-down. In some examples, the distance
between each insertion may be less than the maximum step-down. As shown, the toolpath
114 is generated and shown as level-set contours on the tool-offset surface 306.
[0061] Referring again to Figures 1 and 8, the toolpath is typically given as a discrete
set of points that are connected by straight lines. For example, line segment 320
on the tool-offset surface 306 between points 322 and 324 defines a portion of the
toolpath 114. In at least one example, the forming control unit 102 maps the line
segment 320 onto the sheet offset surface 302, thereby forming a line segment 340
between points 342 and 344. The line segment 340 of the sheet offset surface 302 corresponds
to the line segment 320 of the sheet offset surface 302. The points 342 and 344 correspond
to the points 322 and 324, respectively.
[0062] The points 342 and 344 on the sheet offset surface 302 are contact points. The contact
points, as determined by the points 342 and 344, are connected by the line segment
340 to provide a full contact path. The contact path is the path at which the forming
tool 108 contacts the sheet offset surface 302.
[0063] To map the toolpath 114, the forming control unit 102 applies the same transformation
to the points 342 and 344 that are applied to the target surface 300, which may be
a shift normal to the target surface 300. To do so, in at least one example, the forming
control unit 102 modifies the target surface 300 by offsetting normally. Because the
sheet offset surface 302 is also defined by offsetting the target surface 300 normally,
the forming control unit 102 offsets the sheet offset surface 302 directly. The forming
control unit 102 can recompute the points on the tool-offset surface 306 that correspond
to the points 342 and 344, and connect these by straight line segments to generate
the entirety of toolpath 114.
[0064] The forming control unit 102 may determine the toolpath 114 after or before compensating
for spring back in the same manner. For example, the forming control unit 102 may
generate the toolpath 114 as described above with respect to Figures 5-9 after compensating
for the spring back.
[0065] As described herein, examples of the present disclosure provide systems and methods
for compensating for spring back in an incremental sheet forming process of forming
a structure. Examples of the present disclosure provide systems and methods of spring
forward compensation during incremental sheet forming of a structure. Further, examples
of the present disclosure provide systems and methods of maintaining a toolpath during
an incremental sheet forming process while also compensating for spring back to form
a desired structural shape.
[0066] While various spatial and directional terms, such as top, bottom, lower, mid, lateral,
horizontal, vertical, front and the like can be used to describe examples of the present
disclosure, it is understood that such terms are merely used with respect to the orientations
shown in the drawings. The orientations can be inverted, rotated, or otherwise changed,
such that an upper portion is a lower portion, and vice versa, horizontal becomes
vertical, and the like.
[0067] As used herein, a structure, limitation, or element that is "configured to" perform
a task or operation is particularly structurally formed, constructed, or adapted in
a manner corresponding to the task or operation. For purposes of clarity and the avoidance
of doubt, an object that is merely capable of being modified to perform the task or
operation is not "configured to" perform the task or operation as used herein.
[0068] It is to be understood that the above description is intended to be illustrative,
and not restrictive. For example, the above-described examples (and/or features thereof)
can be used in combination with each other. In addition, many modifications can be
made to adapt a particular situation or material to the teachings of the various examples
of the disclosure. While the dimensions and types of materials described herein are
intended to define the parameters of the various examples of the disclosure, the examples
are by no means limiting and are exemplary. Many other examples will be apparent to
those of skill in the art upon reviewing the above description. In the appended claims
and the detailed description herein, the terms "including" and "in which" are used
as the plain-English equivalents of the respective terms "comprising" and "wherein."
Moreover, the terms "first," "second," and "third," etc. are used merely as labels,
and are not intended to impose numerical requirements on their objects.
[0069] Further, the disclosure comprises examples according to the following clauses:
Clause 1. An incremental sheet forming system (100) that is configured to form a structure
(110) through an incremental sheet forming process, the incremental sheet forming
system (100) comprising: a forming control unit (102) that compensates for spring
back of a structure (110) to be formed through the incremental sheet forming process
by modifying at least a portion of a toolpath (114) of a forming tool (108) that is
used to form the structure (110) based on the spring back.
Clause 2. The incremental sheet forming system (100) of Clause 1, wherein the forming
control unit (102) determines a target shape for the structure (110) to be formed,
and simulates an incremental sheet forming operation in relation to the target shape.
Clause 3. The incremental sheet forming system (100) of Clause 2, wherein the forming
control unit (102) compares differences between the target shape and a resulting structure
(110) from the incremental sheet forming operation to determine one or more offsets
(123) that compensate for the spring back, wherein the one or more offsets (123) relate
to force vectors that oppose the spring back.
Clause 4. The incremental sheet forming system (100) of Clause 2 or Clause 3, wherein
the forming control unit (102) virtually simulates the incremental sheet forming operation
without a forming tool (108) physically operating on the structure (110).
Clause 5. The incremental sheet forming system (100) of any of Clauses 1 to 4, wherein
the forming control unit (102) determines a geometric error (127) over an entirety
of a simulated structure (110).
Clause 6. The incremental sheet forming system (100) of Clause 5, wherein the forming
control unit (102) offsets points (322) on contours (121) normal to a target geometry
in response to the geometric error (127) being greater than a predetermined threshold.
Clause 7. The incremental sheet forming system (100) of Clause 6, wherein the forming
control unit (102) determines if any set of consecutive contours (121) has a maximum
vertical deviation (117) greater than a maximum step-down (119) after the forming
control unit (102) offsets the points (322).
Clause 8. The incremental sheet forming system (100) of Clause 7, wherein, in response
to there being at least one set of consecutive contours (121) that has a maximum vertical
deviation (117) that exceeds the maximum step-down (119), the forming control unit
(102) inserts at least one compensating contour (121) between a target contour (121)
and at least one contour (121) that has a maximum vertical deviation (117) that exceeds
the maximum step-down (119).
Clause 9. The incremental sheet forming system (100) of Clause 8, wherein the forming
control unit (102) further maps the compensating contour (121) onto the structure
(110) to form a compensated geometry.
Clause 10. The incremental sheet forming system (100) of any of Clauses 1 to 9, wherein
the forming control unit (102) maps contours (121) with at least one surface (302)
of the structure (110).
Clause 11. The incremental sheet forming system (100) of any of Clauses 1 to 10, further
comprising the forming tool (108), wherein the forming tool (108) is configured to
follow the toolpath (114), as modified, to form the structure (110).
Clause 12. An incremental sheet forming method that is configured to form a structure
(110) through an incremental sheet forming process, the incremental sheet forming
method comprising: compensating, by a forming control unit (102), for spring back
of a structure (110) to be formed through the incremental sheet forming process, wherein
said compensating comprises modifying at least a portion of a toolpath (114) of a
forming tool (108) that is used to form the structure (110) based on the spring back.
Clause 13. The incremental sheet forming method of Clause 12, wherein said compensating
comprises: determining a target shape for the structure (110) to be formed; and simulating
an incremental sheet forming operation in relation to the target shape.
Clause 14. The incremental sheet forming method of Clause 13, wherein said compensating
further comprises comparing differences between the target shape and a resulting structure
(110) from the incremental sheet forming operation to determine one or more offsets
(123) that compensate for the spring back.
Clause 15. The incremental sheet forming method of Clause 13 or Clause 14, wherein
said simulating comprises virtually simulating the incremental sheet forming operation
without a forming tool (108) physically operating on the structure (110).
Clause 16. The incremental sheet forming method of any of Clauses 12 to 15, wherein
said compensating comprises determining a geometric error (127) over an entirety of
a simulated structure (110).
Clause 17. The incremental sheet forming method of Clause 16, wherein said compensating
further comprises offsetting points (322) on contours (121) normal to a target geometry
in response to the geometric error (127) being greater than a predetermined threshold.
Clause 18. The incremental sheet forming method of Clause 17, wherein said compensating
further comprises determining if any set of consecutive contours (121) has a maximum
vertical deviation (117) greater than a maximum step-down (119) after said offsetting.
Clause 19. The incremental sheet forming method of Clause 18, wherein said compensating
further comprises, in response to there being at least one set of consecutive contours
(121) that has a maximum vertical deviation (117) that exceeds the maximum step-down
(119), inserting at least one compensating contour (121) between a target contour
(121) and at least one contour (121) that has a maximum vertical deviation (117) that
exceeds the maximum step-down (119).
Clause 20. The incremental sheet forming method of Clause 19, wherein said compensating
further comprises mapping the compensating contour (121) onto the structure (110)
to form a compensated geometry.
Clause 21. The incremental sheet forming method of any of Clauses 12 to 20, wherein
said compensating comprises mapping contours (121) with at least one surface (302)
of the structure (110).
Clause 22. An incremental sheet forming system (100) that is configured to form a
structure (110) through an incremental sheet forming process, the incremental sheet
forming system (100) comprising: a forming tool (108); and a forming control unit
(102) that compensates for spring back of a structure (110) to be formed through the
incremental sheet forming process by modifying at least a portion of a toolpath (114)
of the forming tool (108) that is used to form the structure (110) based on the spring
back, wherein the forming control unit (102) determines a target shape for the structure
(110) to be formed, and simulates an incremental sheet forming operation in relation
to the target shape, wherein the forming control unit (102) compares differences between
the target shape and a resulting structure (110) from the incremental sheet forming
operation to determine one or more offsets (123) that compensate for the spring back,
wherein the one or more offsets (123) relate to force vectors that oppose the spring
back, wherein the forming control unit (102) maps contours (121) with at least one
surface (302) of the structure (110), and wherein the forming tool (108) is configured
to follow the toolpath (114), as modified, to form the structure (110).
Clause 23. A method for use with forming a structure (110) through an incremental
sheet forming process, the method comprising: determining a compensation for spring
back of a structure (110) to be formed through the incremental sheet forming process,
wherein the determining the compensation comprises modifying at least a portion of
a toolpath (114) of a forming tool (108) that is used to form the structure (110)
based on the spring back.
Clause 24. The method of Clause 23, wherein the determining the compensation comprises:
determining a target shape for the structure (110) to be formed; and simulating an
incremental sheet forming operation in relation to the target shape.
Clause 25. The method of Clause 24, wherein the determining the compensation further
comprises comparing differences between the target shape and a resulting structure
(110) from the incremental sheet forming operation to determine one or more offsets
(123) that compensate for the spring back.
Clause 26. The method of Clause 25, wherein the resulting structure (110) from the
incremental sheet forming operation is obtained by the simulated incremental sheet
forming determined with respect to a virtual forming tool and a simulated structure.
Clause 27. The method of Clause 25, wherein the resulting structure (110) from the
incremental sheet forming operation is obtained by operating a forming tool (108)
on a test structure, such as a test version of the structure (110).
Clause 28. The method of any of Clauses 24 to 27, wherein the simulating comprises
virtually simulating the incremental sheet forming operation without a forming tool
(108) physically operating on the structure (110).
Clause 29. The method of any of Clauses 23 to 28, wherein the determining the compensation
comprises determining a geometric error (127) over an entirety of a simulated structure
(110).
Clause 30. The method of Clause 29, wherein the determining the compensation further
comprises offsetting points (322) on contours (121) normal to a target geometry in
response to the geometric error (127) being greater than a predetermined threshold.
Clause 31. The method of Clause 30, wherein the determining the compensation further
comprises determining if any set of consecutive contours (121) has a maximum vertical
deviation (117) greater than a maximum step-down (119) after the offsetting.
Clause 32. The method of Clause 31, wherein the determining the compensation further
comprises, in response to there being at least one set of consecutive contours (121)
that has a maximum vertical deviation (117) that exceeds the maximum step-down (119),
inserting at least one compensating contour (121) between a target contour (121) and
at least one contour (121) that has a maximum vertical deviation (117) that exceeds
the maximum step-down (119).
Clause 33. The method of Clause 32, wherein the determining the compensation further
comprises mapping the compensating contour (121) onto the structure (110) to form
a compensated geometry.
Clause 34. The method of any of Clauses 23 to 33, wherein the determining the compensation
comprises mapping contours (121) with at least one surface (302) of the structure
(110).
Clause 35. The method of any of Clauses 23 to 34, performed by a computer processor
of a forming control unit (102).
Clause 36. An incremental sheet forming method that is configured to form a structure
(110) through an incremental sheet forming process, the incremental sheet forming
method comprising: using a forming control unit (102) to perform the method of any
of Clauses 23 to 34, for example a computer processor of the forming control unit
(102); and forming the structure (110) through the incremental sheet forming process
by using the forming control unit (102) to control a forming tool (108) to follow
the modified toolpath (114).
Clause 37. An incremental sheet forming system (100) that is configured to form a
structure (110) through an incremental sheet forming process, the incremental sheet
forming system (100) comprising: a forming control unit (102) configured to compensate
for spring back of a structure (110) to be formed through the incremental sheet forming
process by modifying at least a portion of a toolpath (114) of a forming tool (108)
that is used to form the structure (110) based on the spring back.
Clause 38. The incremental sheet forming system (100) of Clause 37, wherein the forming
control unit (102) is configured: to determine a target shape for the structure (110)
to be formed; and to simulate an incremental sheet forming operation in relation to
the target shape.
Clause 39. The incremental sheet forming system (100) of Clause 38, wherein the forming
control unit (102) is configured to compare differences between the target shape and
a resulting structure (110) from the incremental sheet forming operation to determine
one or more offsets (123) that compensate for the spring back, wherein the one or
more offsets (123) relate to force vectors that oppose the spring back.
Clause 40. The incremental sheet forming system (100) of Clause 39, wherein the resulting
structure (110) from the incremental sheet forming operation is obtained by the simulated
incremental sheet forming determined with respect to a virtual forming tool and a
simulated structure.
Clause 41. The incremental sheet forming system (100) of Clause 39, wherein the resulting
structure (110) from the incremental sheet forming operation is obtained by operating
a forming tool (108) on a test structure, such as a test version of the structure
(110).
Clause 42. The incremental sheet forming system (100) of any of Clauses 37 to 41,
wherein the forming control unit (102) is configured to simulate virtually the incremental
sheet forming operation without a forming tool (108) physically operating on the structure
(110).
Clause 43. The incremental sheet forming system (100) of any of Clauses 37 to 42,
wherein the forming control unit (102) is configured to determine a geometric error
(127) over an entirety of a simulated structure (110).
Clause 44. The incremental sheet forming system (100) of Clause 43, wherein the forming
control unit (102) is configured to offset points (322) on contours (121) normal to
a target geometry in response to the geometric error (127) being greater than a predetermined
threshold.
Clause 45. The incremental sheet forming system (100) of Clause 44, wherein the forming
control unit (102) is configured to determine if any set of consecutive contours (121)
has a maximum vertical deviation (117) greater than a maximum step-down (119) after
the forming control unit (102) offsets (123) the points (322).
Clause 46. The incremental sheet forming system (100) of Clause 45, wherein the forming
control unit (102) is configured to insert at least one compensating contour (121)
between a target contour (121) and at least one contour (121) that has a maximum vertical
deviation (117) that exceeds the maximum step-down (119) in response to there being
at least one set of consecutive contours (121) that has a maximum vertical deviation
(117) that exceeds the maximum step-down (119).
Clause 47. The incremental sheet forming system (100) of Clause 46, wherein the forming
control unit (102) is configured to map the compensating contour (121) onto the structure
(110) to form a compensated geometry.
Clause 48. The incremental sheet forming system (100) of any of Clauses 37 to 47,
wherein the forming control unit (102) is configured to map contours (121) with at
least one surface (302) of the structure (110).
Clause 49. The incremental sheet forming system (100) of any of Clauses 37 to 48,
further comprising the forming tool (108), and wherein the forming tool (108) is configured
to follow the toolpath (114), as modified, to form the structure (110).
Clause 50. A computer program comprising computer instructions that, when executed
by a computer processor, cause the computer processor to perform the method of any
of Clauses 12 to 21 or 23 to 36.
Clause 51. A computer readable medium having stored thereon such the computer program
of Clause 50.
[0070] This written description uses examples to disclose the various examples of the disclosure,
including the best mode, and also to enable any person skilled in the art to practice
the various examples of the disclosure, including making and using any devices or
systems and performing any incorporated methods. The patentable scope of the various
examples of the disclosure is defined by the claims, and can include other examples
that occur to those skilled in the art. Such other examples are intended to be within
the scope of the claims if the examples have structural elements that do not differ
from the literal language of the claims, or if the examples include equivalent structural
elements with insubstantial differences from the literal language of the claims.